yep, that I'm wrong. The reason being that the host always eliminates one incorrect answer. I was doing everything off of the host eliminating an answer.
I made the mistake of arguing the logic of multiple doors, rather than reading carefully that the host knows whats behind the doors and always chooses a goat. The problem didn't explain that he always chooses a goat implying that he could choose the car. Just because he knows whats behind the doors dosen't mean he always chooses a goat. This could after all be a really mean prize show where they don't give you a possible win on a second chance if you didn't get it the first time.
The question did not state that the host always picks a goat if you didn't get it right on the first try.